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2182264 = 237219293
BaseRepresentation
bin1000010100110001111000
311002212111121
420110301320
51024313024
6114435024
724356200
oct10246170
94085447
102182264
111260627
12892a74
135b53a6
1440b400
152d18e4
hex214c78

2182264 has 48 divisors (see below), whose sum is σ = 5027400. Its totient is φ = 883008.

The previous prime is 2182259. The next prime is 2182303. The reversal of 2182264 is 4622812.

It is a happy number.

2182264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7302 + ... + 7594.

22182264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513700).

2182264 is an abundant number, since it is smaller than the sum of its proper divisors (2845136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2182264 is a wasteful number, since it uses less digits than its factorization.

2182264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 2182264 is about 1477.2487942117. The cubic root of 2182264 is about 129.7086968498.

The spelling of 2182264 in words is "two million, one hundred eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 293 392 532 586 931 1064 1172 1862 2051 2344 3724 4102 5567 7448 8204 11134 14357 16408 22268 28714 38969 44536 57428 77938 114856 155876 272783 311752 545566 1091132 2182264